The slodowy-slice tag has no wiki summary.

**1**

vote

**1**answer

77 views

### A canonical G_m (or G) action on the Slodowy slice

Question
By Slodowy slice I mean a transverse slice at a subregular nilpotent orbit in a simple Lie algebra $\mathfrak{g}$ (in particular I am not intersecting with the nilpotent cone). Consider the ...

**5**

votes

**0**answers

249 views

### Why transverse slices?

I would like to know why people are interested in transverse slices. In particular, I would like to know why people study the Slodowy slice to orbits in the nilpotent cone. In Chriss and Ginzburg's ...

**3**

votes

**1**answer

335 views

### Slodowy slices for two-block nilpotents

My question is about an isomorphism between two varieties of the form discussed in this thread; it is also related to an earlier question of mine.
Let $z_n$ be the standard nilpotent of type $(n,n)$. ...

**1**

vote

**1**answer

522 views

### Regular Functions on Slodowy Slices

I recently learned that there is a natural identification, given a simple Lie algebra,
Polynomial functions on the Slodowy slice of a regular nilpotent orbit $\simeq$ polynomial functions on the ...

**3**

votes

**1**answer

572 views

### Does the preimage of the Slodowy slice in $T^*G/P$ have a name?

Let $G$ be your favorite simple complex Lie group, and $P\subset G$ your favorite parabolic subgroup. We can identify $T^*G/P$ with the space of pairs $$\{(gP,x)\in G/P\times \mathfrak g | x\perp ...